Description

A description is a writing form used to create an impression of an object, person, place, event, process, mechanism, etc . You can describe people, objects, animals, plants, or you can also describe how an event happened, how a mechanism operates, etcetera.
In a description you find many adjectives which are the words that will characterize any thing you want to describe.
Example 1:
In an equilateral triangle, all sides are of equal length. An equilateral triangle is also an equiangular polygon, i.e. all its internal angles are equal—namely, 60°; it is a regular polygon.
This description was taken from the following web page: http://en.wikipedia.org/wiki/Triangle
Example 2:
A polygon that is not convex is called concave.[2] A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
It is possible to cut a concave polygon into a set of convex polygons
This description was taken from the following web page: http://en.wikipedia.org/wiki/Concave_polygon

Assignment

I. In the text you will find when you click the link below, extract the first two paragraphs and please find all the characteristics of fractals and underline them. Also find the adjectives and circle them.Be careful ! ! !
__http://en.wikipedia.org/wiki/Fractal__

Fractal

From Wikipedia, the free encyclopedia

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.[2]
A fractal often has the following features:[3]

It has a fine structure at arbitrarily small scales.
It is too irregular to be easily described in traditional Euclidean geometric language.
It is self-similar (at least approximately or stochastically).
It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).[4]
It has a simple and recursive definition.

Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar objects are fractals—for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms.
Characteristics: orange color.
Adjectives: violet color.

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. Roots of mathematical interest on fractals can be traced back to the late 19th Century; however, the term "fractal" was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning "broken" or "fractured." A mathematical fractal is based on an equation that undergoes iteration, a form of feedback based on recursion.[2]
A fractal often has the following features:[3]

It has a fine structure at arbitrarily small scales.
It is too irregular to be easily described in traditional Euclidean geometric language.
It is self-similar (at least approximately or stochastically).
It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).[4]
It has a simple and recursive definition.

Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms). Natural objects that approximate fractals to a degree include clouds, mountain ranges, lightning bolts, coastlines, snow flakes, various vegetables (cauliflower and broccoli), and animal coloration patterns. However, not all self-similar objects are fractals—for example, the real line (a straight Euclidean line) is formally self-similar but fails to have other fractal characteristics; for instance, it is regular enough to be described in Euclidean terms.

1. There is a definition of fractals there. Please identify it and identify its components.

A fractal (term to be defined) is "a rough or fragmented geometric shape (general class word) that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity. (characteristics)

2. There is a description there, please identify it and tell me how you found it. What helped you when locating it.

Can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity.

It has a fine structure at arbitrarily small scales.
It is too irregular to be easily described in traditional Euclidean geometric language.
It is self-similar (at least approximately or stochastically).
It has a Hausdorff dimension which is greater than its topological dimension (although this requirement is not met by space-filling curves such as the Hilbert curve).[4]
It has a simple and recursive definition.

I found the descriptions reading the thing that express the object.
II: Now write a description of any mathematical word or topic.

Please visit the following link for more information.

http://owl.english.purdue.edu/handouts/general/gl_describe.html

The square is a geometrical figure formed by four straight lines of equal length, they are called sides, they form straight angles in the points where join the lines between them (the corners measure 90 degrees).